Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices

Ahmed M. Elshenhab; Xing Tao Wang

doi:10.1016/j.amc.2021.126443

Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices

Ahmed M. Elshenhab^*
, Xing Tao Wang

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology
Mansoura University

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

Nonhomogeneous linear systems of second order differential equations with pure delay and multiple delays are considered. Representations of their solutions without a commutativity assumption on the matrix coefficients are obtained by using delayed matrix functions and Laplace transform. Our results improve and extend previous results.

Original language	English
Article number	126443
Journal	Applied Mathematics and Computation
Volume	410
DOIs	https://doi.org/10.1016/j.amc.2021.126443
State	Published - 1 Dec 2021
Externally published	Yes

Keywords

Delayed matrix functions
Laplace transform
Multiple delays
Non-permutable matrices
Representation of solutions
Second order

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10.1016/j.amc.2021.126443

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title = "Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices",

abstract = "Nonhomogeneous linear systems of second order differential equations with pure delay and multiple delays are considered. Representations of their solutions without a commutativity assumption on the matrix coefficients are obtained by using delayed matrix functions and Laplace transform. Our results improve and extend previous results.",

keywords = "Delayed matrix functions, Laplace transform, Multiple delays, Non-permutable matrices, Representation of solutions, Second order",

author = "Elshenhab, \{Ahmed M.\} and Wang, \{Xing Tao\}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

month = dec,

day = "1",

doi = "10.1016/j.amc.2021.126443",

language = "英语",

volume = "410",

journal = "Applied Mathematics and Computation",

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T1 - Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices

AU - Elshenhab, Ahmed M.

AU - Wang, Xing Tao

PY - 2021/12/1

Y1 - 2021/12/1

N2 - Nonhomogeneous linear systems of second order differential equations with pure delay and multiple delays are considered. Representations of their solutions without a commutativity assumption on the matrix coefficients are obtained by using delayed matrix functions and Laplace transform. Our results improve and extend previous results.

AB - Nonhomogeneous linear systems of second order differential equations with pure delay and multiple delays are considered. Representations of their solutions without a commutativity assumption on the matrix coefficients are obtained by using delayed matrix functions and Laplace transform. Our results improve and extend previous results.

KW - Delayed matrix functions

KW - Laplace transform

KW - Multiple delays

KW - Non-permutable matrices

KW - Representation of solutions

KW - Second order

UR - https://www.scopus.com/pages/publications/85108209621

U2 - 10.1016/j.amc.2021.126443

DO - 10.1016/j.amc.2021.126443

M3 - 文章

AN - SCOPUS:85108209621

SN - 0096-3003

VL - 410

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 126443

ER -

Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices

Abstract

Keywords

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